This week I learned how to find the discriminant. To find the discriminant, you take the b2 – 4ac
from the original quadratic formula, the discriminant is how you can find out how many roots the quadratic equation is going to have. If the discriminant above 0 it will have 2 roots, if the discriminant is 0, you will have 1 root, and if the discriminant is negative, there are no roots.
This week I learned how to use the table of values in a quadratic function to find the vertex and x intercepts. You can find the vertex on the table of values by plugging x into the function and then on the table of values you look for either the highest or the lowest point on the y.
This week I learned how to apply the quadratic formula.
First off, you need to determine A, B and C, from there plug them into the quadratic formula, then use BEDMAS from there. I prefer to use the quadratic formula because you just throw in the “a, b and c” and just go on from there, but mostly because there isn’t many difficult steps and it’s harder to make mistakes compared to trying to complete the square.
This week I learned how to factor polynomials. I usually start by finding what adds to the 2nd term and multiplies to get the 3rd term. I found it was -2 and 9. This works the best if there isn’t a coefficient in the 1st term. If there is a coefficient when factoring, you can include it one of the brackets. To check if you’re correct, then foil what you got, and if it equals to the original questions, then you know that you’re correct!
The discovery of DNA has proven Darwin’s theory. Since Darwin has seen that most species have similar physical characteristics, but it’s confirmed because of the similar DNA sequences between different species. The discovery of DNA has changed how everyone sees evolution in present day, because we can see where most species originated from and what it’s past ancestors were. With DNA, scientists can try to recreate extinct species with their DNA codes.
This week I learned how to divide radical expressions.
You can’t have a radical in the denominator so first you have to multiply the denominator by itself and do the same to the numerator. Then after distributing you just need to simplify the equation until your can’t anymore.
This week I learned how to find the absolute value of a number and the basis of what absolute value means, it is how far a number is from 0.
This week I learned how to find a certain value in a geometric sequence by using certain formulas.
5,10,15,20,25
d=5
Are all human traits set and stone when they are born, are humans static for the entirety of their lives, or do humans change because of events that occur in their lifetime? What affects people more, nature or nurture?
In the story “I Stand Here Ironing” the main character Emily, was born a really bright, outgoing child, but when Emily’s mom had to work to support her child, as a single mother she had to let the “lady downstairs” look after her newborn. The “lady downstairs” did not like Emily at all and at an early age, Emily’s personality changed drastically due to nurture. Emily’s mother really wanted to be with Emily all the time, but due to financial reasons, her father left a few months after she was born. Emily was described as a blessing to her mother, Emily’s mother noticed that “the lady downstairs” did not think of Emily as a blessing in any form at all, and that effected Emily from a young age. After being babysat by “the lady downstairs” Emily was very different, she was no longer mom’s blessing because she was not as happy and playful all the time anymore, Emily was humbled by this incident.
Emily’s mother brought another man into her life, this resulted in less time between Emily and her mom. There were nights where Emily was waiting for her mom to come home so they could talk or just do something together because Emily never got much time with her mom. There were not many times where Emily was communicating with her mother because her mom was either working or she was out with her new husband. Consequently, Emily was practically neglected for most of her life. Emily caught measles when her mom was having her second child, so Emily was alone for around a week with no one around, the sickness left Emily weak, thin and prone to nightmares. Later, Emily caught tuberculosis, which resulted in her getting sent to a convalescent home where she could get the treatment she needed, the home would not allow patients to read their mail more than once, or any face to face communication with their family. After a few months, when Emily came back, she had no appetite and she was broken mentally.
Susan was Emily’s younger sister and she was also called a “blessing” by her mother as well. Susan and Emily are polar opposites in just about every way. Susan would tell jokes at the family dinner and everyone would listen to her, she is a bit chubby for her age, she is very bright and outgoing. Conversely, Emily is neglected by her family, does not eat much, very small talk around her family because she is scared that her family is only paying attention to her younger sister. Emily would sometimes talk to Susan, Emily was kind of jealous of Susan because Susan is everything she is not.
In the story “I Stand Here Ironing” nurture played the biggest role, because Emily’s nature was really bright and ecstatic, but because of certain events in her life, it completely changed how she thinks, eats and does. Nature can only go so far in your life, before events occur in your life that can negatively or positively change your life for the time being, or forever.